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Zinaida [17]
2 years ago
12

Suppose that your boss must choose three employees in your office to attend a conference in Jamaica. Because all 17 of you want

to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Anna, and Kevin are chosen? Enter a fraction or round your answer to 4 decimal places, if necessary.
Mathematics
1 answer:
Pani-rosa [81]2 years ago
5 0

Answer:

P(You\ n\ Anna\ n\ Kevin) = \frac{1}{4913}

Step-by-step explanation:

Given

Total\ Employees = 17

To\ Select = 3

Required

Determine the probability of selecting You, Anna and Kevin

Assuming the selection process is fair;

Each employee has a probability of;

Probability = \frac{1}{17}

So:

P(You\ n\ Anna\ n\ Kevin) = P(You) * P(Anna) * P(Kevin)

P(You\ n\ Anna\ n\ Kevin) = \frac{1}{17} * \frac{1}{17} * \frac{1}{17}

P(You\ n\ Anna\ n\ Kevin) = \frac{1}{4913}

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People are arriving at a party one at a time. While waiting for more people to arrive they entertain themselves by comparing the
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Answer:

=(k−1)*P(X>k−1) or (k−1)365k(365k−1)(k−1)!

Step-by-step explanation:

First of all, we need to find PMF

Let X = k represent the case in which there is no birthday match within (k-1) people

However, there is a birthday match when kth person arrives

Hence, there is 365^k possibilities in birthday arrangements

Supposing (k-1) dates are placed on specific days in a year

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The CDF is P(X≤k)=(1−(365k)k)/!365k, so the can obtain the PMF by  

P(X=k) =P (X≤k) − P(X≤k−1)=(1−(365k)k!/365^k)−(1−(365k−1)(k−1)!/365^(k−1))=

(k−1)/365^k * (365k−1) * (k−1)!

=(k−1)*(1−P(X≤k−1))

=(k−1)*P(X>k−1)

6 0
2 years ago
A cube has an edge of 2 feet. The edge is increasing at the rate of 5 feet per minute. Express the volume of the cube as a funct
Agata [3.3K]

Answer:

V(m) = (2 + 5m)^3

Step-by-step explanation:

Given

Solid Shape = Cube

Edge = 2 feet

Increment = 5 feet per minute

Required

Determine volume as a function of minute

From the question, we have that the edge of the cube increases in a minute by 5 feet

<em>This implies that,the edge will increase by 5m feet in m minutes;</em>

Hence,

New\ Edge = 2 + 5m

Volume of a cube is calculated as thus;

Volume = Edge^3

Substitute 2 + 5m for Edge

Volume = (2 + 5m)^3

Represent Volume as a function of m

V(m) = (2 + 5m)^3

4 0
2 years ago
If 6j-5k =11 and 5j-6k =22, then what is the value of 2j+2k??
dsp73

Answer:

-22

Step-by-step explanation:

6j-5k=11

5j-6k=22

-----------------

5(6j-5k)=5(11)

-6(5j-6k)=-6(22)

-----------------------

30j-25k=55

-30j+36k=-132

-----------------------

11k=-77

k=-77/11

k=-7

6j-5(-7)=11

6j+35=11

6j=11-35

6j=-24

j=-24/6

j=-4

------------------

2j+2k=2(-4)+2(-7)=-8-14=-22

8 0
2 years ago
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